100102012011120 has 80 divisors (see below), whose sum is σ = 354647128273920. Its totient is φ = 22880459887872.

The previous prime is 100102012011091. The next prime is 100102012011137. The reversal of 100102012011120 is 21110210201001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100102012011096 and 100102012011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29792263800 + ... + 29792267159.

It is an arithmetic number, because the mean of its divisors is an integer number (4433089103424).

Almost surely, 2^{100102012011120} is an apocalyptic number.

100102012011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102012011120 is an abundant number, since it is smaller than the sum of its proper divisors (254545116262800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102012011120 is a wasteful number, since it uses less digits than its factorization.

100102012011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59584530982 (or 59584530976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102012011120 its reverse (21110210201001), we get a palindrome (121212222212121).

The spelling of 100102012011120 in words is "one hundred trillion, one hundred two billion, twelve million, eleven thousand, one hundred twenty".